Angle of a semicircle on a ramp

  • #1
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Homework Statement


The semicylinder of mass m and radius r lies on the rough inclined plane for which ϕ = 10∘ and the coefficient of static friction is μs = 0.3. Determine if the semicylinder slides down the plane, and if not, find the angle of tip θ of its base AB

Homework Equations


f=uN

The Attempt at a Solution


I think this requires some weird trigonemetry... I already calculated that the cylinder does not slide down but I cannot calculate the angle of theta
upload_2015-11-20_8-51-14.png
[/B]
 

Answers and Replies

  • #2
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but I cannot calculate the angle of theta
What did you try so far?
What do you know about equilibrium positions?
 
  • #3
haruspex
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Your drawing of the forces could be a little more accurate. Where will the line of action of the normal force intersect AB?
 
  • #4
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What did you try so far?
What do you know about equilibrium positions?
I've tried a few different triangles, but I cant figure it out. I know nothing about equilibrium positions.
 
  • #5
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Your drawing of the forces could be a little more accurate. Where will the line of action of the normal force intersect AB?
How can I calculate that?
 
  • #6
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Never mind, I figured it out. In case your curious you use the law of sines...
 

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